On the characterization of subspaces and quotient spaces of stable power series spaces of finite type

1988 ◽  
Vol 50 (5) ◽  
pp. 463-469 ◽  
Author(s):  
Dietmar Vogt
Keyword(s):  
Power Series ◽  
Finite Type ◽  
Quotient Spaces

scholarly journals Power series spaces $Λ_{k}(a)$ of finite type and related nuclearities

1975 ◽  
Vol 53 (1) ◽  
pp. 1-13 ◽  
Author(s):  
M. Ramanujan ◽  
T. Terzioglu
Keyword(s):  
Power Series ◽  
Finite Type

scholarly journals Positioning matrices with respect to the boundary of the maximal group

1986 ◽  
Vol 33 (1) ◽  
pp. 113-122
Author(s):  
J. DeFranza ◽  
D.J. Fleming
Keyword(s):  
Power Series ◽  
Banach Algebra ◽  
Finite Type ◽  
Maximal Group ◽  
Nörlund Means ◽  
Invertible Elements

Let Δ denote the Banach algebra of all conservative triangular matrics, M the maximal group of invertible elements of Δ, B the boundary of M and . In this note little Nörlund means are located with respect to the disjoint decomposition M u B u N of Δ in terms of the zeros of the generating power series. Further, corridor matrices of finite type, that is, conservative methods with finitely many convergent diagonals, are located with respect to M u B u N.

CHARACTERIZATION OF MODELS IN C2 BY THEIR AUTOMORPHISM GROUPS

1994 ◽  
Vol 05 (05) ◽  
pp. 619-634 ◽  
Author(s):  
FRANÇOIS BERTELOOT
Keyword(s):  
Finite Type ◽  
Automorphism Groups ◽  
Holomorphic Automorphisms

Let Ω be a domain in C2. Assume that there exists a point z0 in Ω and a sequence (φp) of holomorphic automorphisms of Ω such that (φp (z0)) is accumulating at some point ζ0 where bΩ is pseudoconvex and finite type. We show that Ω is biholomorphically equivalent to its model at ζ0.

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